What is expand (x^2-4)(x^2+6x+9) ?

The solution to expand (x^2-4)(x^2+6x+9) is x^4+6x^3+5x^2-24x-36

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expand (x^2-4)(x^2+6x+9)

expand

(x^{2} - 4) (x^{2} + 6 x + 9)

x^{4} + 6 x^{3} + 5 x^{2} - 24 x - 36

Solution steps

(x^{2} - 4) (x^{2} + 6 x + 9)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 6 x + x^{2} \cdot 9 - 4 x^{2} - 4 \cdot 6 x - 4 \cdot 9

Simplify

x^{2} x^{2} + x^{2} \cdot 6 x + x^{2} \cdot 9 - 4 x^{2} - 4 \cdot 6 x - 4 \cdot 9 : x^{4} + 6 x^{3} + 5 x^{2} - 24 x - 36

= x^{4} + 6 x^{3} + 5 x^{2} - 24 x - 36

\frac{x ^{2} - 8}{x ^{2} - 10 x + 21} + \frac{5 - 2 x}{x ^{2} - 10 x + 21}

\frac{30}{7}

(3 x + 5)^{3}

\frac{81}{16}

\frac{1}{x}

What is expand (x^2-4)(x^2+6x+9) ?
The solution to expand (x^2-4)(x^2+6x+9) is x^4+6x^3+5x^2-24x-36